31921312640000

Names of 31921312640000

• Cardinal: 31921312640000 can be written as Thirty-one trillion, nine hundred twenty-one billion, three hundred twelve million, six hundred forty thousand.

Scientific notation

• Scientific notation: 3.192131264 × 10¹³

Factors of 31921312640000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 5378

Divisors of 31921312640000

• Number of divisors d(n): 660
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 197 200 224 245 250 256 280 320 350 392 394 400 448 490 500 512 560 625 640 700 784 788 800 875 896 980 985 1000 1024 1120 1225 1250 1280 1379 1400 1568 1576 1600 1750 1792 1960 1970 2000 2240 2450 2500 2560 2758 2800 3136 3152 3200 3500 3584 3920 3940 4000 4375 4480 4900 4925 5000 5120 5167 5516 5600 6125 6272 6304 6400 6895 7000 7168 7840 7880 8000 8750 8960 9653 9800 9850 10000 10334 11032 11200 12250 12544 12608 12800 13790 14000 15680 15760 16000 17500 17920 19306 19600 19700 20000 20668 22064 22400 24500 24625 25088 25216 25600 25835 27580 28000 30625 31360 31520 32000 34475 35000 35840 36169 38612 39200 39400 40000 41336 44128 44800 48265 49000 49250 50176 50432 51670 55160 56000 61250 62720 63040 64000 68950 70000 72338 77224 78400 78800 80000 82672 88256 89600 96530 98000 98500 100864 103340 110320 112000 122500 123125 125440 126080 128000 129175 137900 140000 144676 154448 156800 157600 160000 165344 172375 176512 179200 180845 193060 196000 197000 201728 206680 220640 224000 241325 245000 246250 250880 252160 253183 258350 275800 280000 289352 308896 313600 315200 320000 330688 344750 353024 361690 386120 392000 394000 413360 441280 448000 482650 490000 492500 504320 506366 516700 551600 560000 578704 617792 627200 630400 640000 645875 661376 689500 706048 723380 772240 784000 788000 826720 861875 882560 896000 904225 965300 980000 985000 1008640 1012732 1017899 1033400 1103200 1120000 1157408 1206625 1235584 1254400 1260800 1265915 1291750 1322752 1379000 1412096 1446760 1544480 1568000 1576000 1653440 1723750 1765120 1808450 1930600 1960000 1970000 2025464 2035798 2066800 2206400 2240000 2314816 2413250 2471168 2521600 2531830 2583500 2645504 2758000 2893520 3088960 3136000 3152000 3229375 3306880 3447500 3530240 3616900 3861200 3920000 3940000 4050928 4071596 4133600 4412800 4480000 4521125 4629632 4826500 4942336 5043200 5063660 5089495 5167000 5291008 5516000 5787040 6033125 6177920 6272000 6304000 6329575 6458750 6613760 6895000 7060480 7125293 7233800 7722400 7840000 7880000 8101856 8143192 8267200 8825600 9042250 9259264 9653000 9884672 10127320 10178990 10334000 11032000 11574080 12066250 12355840 12608000 12659150 12917500 13227520 13790000 14250586 14467600 15444800 15680000 15760000 16203712 16286384 16534400 17651200 18084500 18518528 19306000 20254640 20357980 20668000 22064000 22605625 23148160 24132500 24711680 25216000 25318300 25447475 25835000 26455040 27580000 28501172 28935200 30889600 31360000 31520000 31647875 32407424 32572768 33068800 35302400 35626465 36169000 37037056 38612000 40509280 40715960 41336000 44128000 45211250 46296320 48265000 49423360 49877051 50636600 50894950 51670000 55160000 57002344 57870400 61779200 63040000 63295750 64814848 65145536 66137600 71252930 72338000 77224000 81018560 81431920 82672000 88256000 90422500 92592640 96530000 99754102 101273200 101789900 103340000 110320000 114004688 115740800 123558400 126080000 126591500 127237375 129629696 130291072 132275200 142505860 144676000 154448000 158239375 162037120 162863840 165344000 176512000 178132325 180845000 185185280 193060000 199508204 202546400 203579800 206680000 220640000 228009376 231481600 247116800 249385255 253183000 254474750 259259392 260582144 285011720 289352000 308896000 316478750 324074240 325727680 330688000 356264650 361690000 386120000 399016408 405092800 407159600 413360000 441280000 456018752 462963200 498770510 506366000 508949500 521164288 570023440 578704000 617792000 632957500 636186875 648148480 651455360 661376000 712529300 723380000 772240000 798032816 810185600 814319200 826720000 882560000 890661625 912037504 925926400 997541020 1012732000 1017899000 1042328576 1140046880 1157408000 1235584000 1246926275 1265915000 1272373750 1296296960 1302910720 1425058600 1446760000 1544480000 1596065632 1620371200 1628638400 1653440000 1781323250 1824075008 1995082040 2025464000 2035798000 2280093760 2314816000 2493852550 2531830000 2544747500 2605821440 2850117200 2893520000 3088960000 3192131264 3240742400 3257276800 3306880000 3562646500 3648150016 3990164080 4050928000 4071596000 4453308125 4560187520 4629632000 4987705100 5063660000 5089495000 5211642880 5700234400 5787040000 6177920000 6234631375 6384262528 6481484800 6514553600 7125293000 7296300032 7980328160 8101856000 8143192000 8906616250 9120375040 9975410200 10127320000 10178990000 11400468800 11574080000 12469262750 12768525056 13029107200 14250586000 15960656320 16203712000 16286384000 17813232500 18240750080 19950820400 20254640000 20357980000 22800937600 23148160000 24938525500 25537050112 26058214400 28501172000 31173156875 31921312640 32407424000 32572768000 35626465000 36481500160 39901640800 40509280000 40715960000 45601875200 49877051000 51074100224 57002344000 62346313750 63842625280 65145536000 71252930000 79803281600 81018560000 81431920000 91203750400 99754102000 114004688000 124692627500 127685250560 130291072000 142505860000 159606563200 162037120000 162863840000 182407500800 199508204000 228009376000 249385255000 255370501120 285011720000 319213126400 325727680000 399016408000 456018752000 498770510000 570023440000 638426252800 651455360000 798032816000 912037504000 997541020000 1140046880000 1276852505600 1596065632000 1995082040000 2280093760000 3192131264000 3990164080000 4560187520000 6384262528000 7980328160000 15960656320000 31921312640000
• Sum of all divisors σ(n): 93246261219936
• Sum of proper divisors (its aliquot sum) s(n): 61324948579936
• 31921312640000 is an abundant number, because the sum of its proper divisors (61324948579936) is greater than itself. Its abundance is 29403635939936

Bases of 31921312640000

• Binary: 111010000100001000010100000000010110000000000₂
• Hexadecimal: 0x1D0842802C00
• Base-36: BBCG5D14W

Squares and roots of 31921312640000

• 31921312640000 squared (31921312640000²) is 1018970200660623769600000000
• 31921312640000 cubed (31921312640000³) is 32526866346131305886816927744000000000000
• The square root of 31921312640000 is 5649894.9229167085
• The cube root of 31921312640000 is 31721.9770975821

Scales and comparisons

• 31,921,312,640,000 seconds is equal to 1,014,999 years, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 31,921,312,640,000 would take you about two million, five hundred thirty-seven thousand, four hundred ninety-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 31921312640000 cubic inches would be around 2643.5 feet tall.

Recreational maths with 31921312640000

• 31921312640000 backwards is 00004621312913
• 31921312640000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31921312640000's digits is 32
• More coming soon!